101232123300 has 1296 divisors, whose sum is σ = 427900112640. Its totient is φ = 20520864000.

The previous prime is 101232123281. The next prime is 101232123313. The reversal of 101232123300 is 3321232101.

101232123300 is a `hidden beast` number, since 1 + 0 + 12 + 321 + 2 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 772764235 + ... + 772764365.

It is an arithmetic number, because the mean of its divisors is an integer number (330169840).

Almost surely, 2^101232123300 is an apocalyptic number.

101232123300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213950056320).

101232123300 is an abundant number, since it is smaller than the sum of its proper divisors (326667989340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101232123300 is a wasteful number, since it uses less digits than its factorization.

101232123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101232123300 its reverse (3321232101), we get a palindrome (104553355401).

The spelling of 101232123300 in words is "one hundred one billion, two hundred thirty-two million, one hundred twenty-three thousand, three hundred".